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A set contains 5 integers {a, b, c, d, e}, which are evenly distribute

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A set contains 5 integers {a, b, c, d, e}, which are evenly distribute  [#permalink]

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New post Updated on: 12 Aug 2018, 23:52
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:06) correct 16% (00:59) wrong based on 81 sessions

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Solve any Median and Range question in a minute- Exercise Question #4

A set contains 5 integers {a, b, c, d, e}, which are evenly distributed and are arranged in increasing order of value. What is the value of c?


    Statement 1: The smallest integer of the set is 4
    Statement 2: Range of the set is 12


To solve all the practice questions Solve any Median and Range question in a minute - Practice Questions

To read 1st article: Solve any Mean and Standard deviation question under a minute

To read the 2nd article : Solve any Median and Range question in a minute

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Originally posted by EgmatQuantExpert on 11 Jul 2018, 07:04.
Last edited by EgmatQuantExpert on 12 Aug 2018, 23:52, edited 3 times in total.
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Re: A set contains 5 integers {a, b, c, d, e}, which are evenly distribute  [#permalink]

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New post 11 Jul 2018, 07:35
Ans: C
Statment: set {a, b, c, d, e}, which are evenly distributed and are arranged in increasing order of value.
means b= a+x, c=a+2x, d= a+3x, e=a+4x and so on.. what is c???

now from stat:1) a=4 ; c= 4+2x .. as we do not know anything about the x here (not Suff)
stat:2) Range of set is 12
means e-a= 12 ; a+4x-a=12 so x=3
and c= a +2x : so c= a+6, but we don't know the value of a so (not suff)
State 1&2) we know the value of a and x so c= 4+6= 10 (Suff)

EgmatQuantExpert wrote:
Solve any Median and Range question in a minute- Exercise Question #4

A set contains 5 integers {a, b, c, d, e}, which are evenly distributed and are arranged in increasing order of value. What is the value of c?


    Statement 1: The smallest integer of the set is 4
    Statement 2: Range of the set is 12


To read the article: Solve any Median and Range question in a minute

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Re: A set contains 5 integers {a, b, c, d, e}, which are evenly distribute  [#permalink]

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New post 15 Jul 2018, 06:34
1

Solution



Given:
• 5 integers are evenly distributed and arranged in increased order.

To find:
• The value of c

Statement-1: “The smallest integer of the set is 4“
a= 4
This does not give us any information about c.
Hence, Statement 1 alone is not sufficient to answer the question.

Statement-2: “Range of the set is 12 “
Since all the 5 elements are evenly distributed, we can assume the b= a+r, c= b+r= a+2r and so on.
• Hence, d= a+3r and e= a+4r
Now, range is 12.
Hence, e-a= 12
• a+4r-a= 12
• r= 3
• Hence, c= a+6
• But we don’t know the value of a.
Statement 2 alone is not sufficient to answer the question.

Combining both the statements:
From Statement 1:
a=4
From Statement 2:
c=a+6
Hence, c= 10
Hence, we can find the answer by combining both the statements.

Statement (1) and (2) together are sufficient to answer the question.
Hence, the correct answer is option C.

Answer: C
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Number Properties | Algebra |Quant Workshop

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Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



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Re: A set contains 5 integers {a, b, c, d, e}, which are evenly distribute &nbs [#permalink] 15 Jul 2018, 06:34
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A set contains 5 integers {a, b, c, d, e}, which are evenly distribute

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